What are the common multiples of 24 and 23?

Common multiples of 24 and 23 are numbers that both 24 and 23 can be divided into evenly with no remainder.

To find the common multiples of 24 and 23, we compare the list of multiples of 24 with the list of multiples of 23 to see what they have in common.

To create a list of multiples of 24, we multiply 24 by 1, 24 by 2, and so on like this:

24 x 1 = 24
24 x 2 = 48
24 x 3 = 72
24 x 4 = 96
...

Similarly, to create a list of multiples of 23, we multiply 23 by 1, 23 by 2, and so on like this:

23 x 1 = 23
23 x 2 = 46
23 x 3 = 69
23 x 4 = 92
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 24 and 23?"

552, 1104, 1656, 2208, etc.

Since 552 is the first number they have in common, 552 is the least common multiple of 24 and 23.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 552 (the least common multiple), so you can continue the green list above with more common multiples of 24 and 23 by simply adding 552 to the last number on the list.

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